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Simplifying 3x2 + -7x + 36 = 0 Reorder the terms: 36 + -7x + 3x2 = 0 Solving 36 + -7x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 12 + -2.333333333x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -2.333333333x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -2.333333333x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2.333333333x + x2 = 0 + -12 -2.333333333x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -2.333333333x + x2 = -12 The x term is -2.333333333x. Take half its coefficient (-1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. -2.333333333x + 1.361111112 + x2 = -12 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333x + x2 = -12 + 1.361111112 Combine like terms: -12 + 1.361111112 = -10.638888888 1.361111112 + -2.333333333x + x2 = -10.638888888 Factor a perfect square on the left side: (x + -1.166666667)(x + -1.166666667) = -10.638888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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